Base for a fireplace tool support



FIG. 1 is a base for a fireplace tool support showing my new design;

FIG. 2 is a plan view thereof;

FIG. 3 is a front elevational view thereof;

FIG. 4 is a rear elevational view thereof; and

FIG. 5 is a side elevational view thereof. 

The ornamental design for a base for a fireplace tool support, substantially as shown. 